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Quiz1_Solution

# Quiz1_Solution - Quiz 1 Monday January 28‘“ 2008 PHY...

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Unformatted text preview: Quiz 1. Monday, January 28‘“, 2008 PHY 252 SOLUTION Name: 1. A wave has the form y(x,t) = Acos(61r X102[t+0.00291x]) in SI units. a. In what direction is the wave traveling? (Explain clearly.) (3 points) [A 3CDL+ADCJ t+Ai) = Home). "Flam, June amumeu‘b of ihe cosine musi‘ be Maud— }.o. 617x102 C at + 0.002:ij :: candid will-keren‘tléte 1 (Ax __. doc. __ 1- o n . 023 __ 2':— O '-- __ _-_~ ——-—-——- 6 “o 0 +00 lat) > c11- 0.0029! ole: = — 344 Wis to 35545:. ai— -‘, wave Es iraueuthj in “Ute. HOC- direc‘éi'ou. b. Based on your knowledge of waves in media, what type of wave is this likely to be, and in what medium is it likely traveling? Justify your answer. (2 points) (Hint: What are the frequency and speed of the wave?) we have COMMQA the. speed) “U =2 “334-148 TM freiueucj ILA obiaiuecj Camparl'ud our We 1'0 Amﬁwti-Kac) ,'. Lg = 2713- = éﬂxlaz __=.> 5. z: 300 H2. TLC» speed anal frezuent‘ ‘13 idpical. for salad Waves ‘ | ' .., If U. M at!“ ( Le, SPEECL. duct |Mu.5lc . (Concert ﬂ L45 1? : ##OHZ) “Fl/Lula, slain. are. comsisl'emt Sauna! waves 7‘4 LMaJJ‘. ( on.“ Psalm-ties an}, at m be Supported) EM mm are with! Guj— ‘SW ’V '5 C : 3x’ogm-‘h' Quiz 1. Monday, January 28‘“, 2008 PHY 252 2. The relationship between air pressure P and air density p is P = [3 p, where [3’ is a constant. a. What are the dimensions of i3 ? (1 point) B _ J9— : Fo Pee/area : Mass at acceleration lo densii: are“ d deusfird “7. __ M L‘T ‘ —2. * L1 1"— .ﬁ. cri- WIDTS X 1-1 M/L3 CUcloeiL'ﬂ SZMQTEd3 b. The amplitude of a longitudinal sound wave in air, at position x and time t, can be written as a function x(x— vt) , where v is the speed of the wave. The equation describing the propagation of sound waves in air is az_x _ ﬂ 6:2; Biz 3x2 Use this information to derive an equation relating [3 and v. (3 points) set P z ail—Wt 8% 3x. 32 31° ' _. = ._.. if) : ._ SUM—e -—.. = i From Chain rule 311: 8? Ba: 3P 3:: fee—appij chain rule 31);, = 3,9 ____ 31% BEES-L 3? P 5— 9 P‘“ Similar-Ln] 32) = 333% 2 .v% saw 21° : -—v 5‘; at. a at 3f 3 31%) .. v1 g2" . é}? ‘ are SuAsivl'l-nt °" 31-74 _ 7,1311 z 31"} = {3319‘ {3:331 *4 at; ‘— 3'31 31} 3’92 c. Given that the speed of sound in air at standard temperature and pressure is 334 m/s, estimate the value of ﬂ for air. (1 point) 5- B=(33Lt-m[5)1 :. 1-12 mo mtg“ "to 385.933. ~——-% (1. Use this information to estimate the density of air at standard temperature and pressure. (You will need to know/estimate the value of the “standard pressure”) (1 bonus point) i ai'MPLm % iiO‘gllJJM."~2~ (.YmﬁsL-wukm P m sum‘z I . P {3 i.l'2.wo\$' M15“ \1 A emit: cop-can‘t answer is P = J: 2 lai'ha. ‘3 Lizua‘mls“ -5 .. P ee‘iiuo nth-5‘31; ...
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• Spring '08
• Treacy
• Atmospheric thermodynamics, Standard conditions for temperature and pressure, International Standard Atmosphere, longitudinal sound wave, TM freiueucj ILA, TLC» speed anal

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